Least Common Multiple of 81 and 85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 81 and 85 the smallest integer that is 6885 that is divisible by both numbers.

Least Common Multiple (LCM) of 81 and 85 is 6885.

LCM(81,85) = 6885

LCM of 81 and 85

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 81 and 85

LCM of 81 and 85 is 6885

Least common multiple can be found by multiplying the highest exponent prime factors of 81 and 85. First we will calculate the prime factors of 81 and 85.

Prime Factorization of 81


3 81
3 27
3 9
3 3
1

Prime factors of 81 are 3. Prime factorization of 81 in exponential form is:

81 = 34

Prime Factorization of 85


5 85
17 17
1

Prime factors of 85 are 5,17. Prime factorization of 85 in exponential form is:

85 = 51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 81 and 85.

LCM(81,85) = 34×51×171
LCM(81,85) = 6885

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Least Common Multiple of 81 and 85 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81 and 85, than apply into the LCM equation.

GCF(81,85) = 1
LCM(81,85) = ( 81 × 85) / 1
LCM(81,85) = 6885 / 1
LCM(81,85) = 6885

Properties of LCM 81 and 85

(i) The LCM of 85 and 81 is associative

LCM of 81 and 85 = LCM of 85 and 81

Related Least Common Multiples of 81

Related Least Common Multiples of 85

Frequently Asked Questions on LCM of 81 and 85

1. What is the LCM of 81 and 85?

Answer: LCM of 81 and 85 is 6885.

2. What are the Factors of 81?

Answer: Factors of 81 are 1, 3, 9, 27, 81. There are 5 integers that are factors of 81. The greatest factor of 81 is 81.

3. What are the Factors of 85?

Answer: Factors of 85 are 1, 5, 17, 85. There are 4 integers that are factors of 85. The greatest factor of 85 is 85.

4. How to Find the LCM of 81 and 85?

Answer:

Least Common Multiple of 81 and 85 = 6885

Step 1: Find the prime factorization of 81

81 = 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 85

85 = 5 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6885 = 3 x 3 x 3 x 3 x 5 x 17

Step 4: Therefore, the least common multiple of 81 and 85 is 6885.